382986023760 has 240 divisors, whose sum is σ = 1295271763968. Its totient is φ = 101411481600.

The previous prime is 382986023737. The next prime is 382986023767. The reversal of 382986023760 is 67320689283.

It is a happy number.

382986023760 is a `hidden beast` number, since 3 + 8 + 29 + 8 + 602 + 3 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 382986023697 and 382986023706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382986023767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61069425 + ... + 61075695.

Almost surely, 2^382986023760 is an apocalyptic number.

382986023760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382986023760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647635881984).

382986023760 is an abundant number, since it is smaller than the sum of its proper divisors (912285740208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

382986023760 is a wasteful number, since it uses less digits than its factorization.

382986023760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6874 (or 6865 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 382986023760 in words is "three hundred eighty-two billion, nine hundred eighty-six million, twenty-three thousand, seven hundred sixty".